A person walks 5 meters in the direction 370 degrees north of east. How far from north and how far east had he walked? what is the answer of this question?
To find out how far the person had walked north and east, we can break down the given information into its components.
First, let's convert the direction into standard compass notation. Since the person is walking 370 degrees north of east, we need to subtract 90 degrees from the given angle. Therefore, the person is walking 280 degrees east of north.
To calculate the distances, we can use trigonometry. We know that the person walked a total distance of 5 meters. The distance walked in the north direction can be calculated using the sine function, and the distance walked in the east direction can be calculated using the cosine function.
The distance walked north = 5 * sin(280 degrees)
The distance walked east = 5 * cos(280 degrees)
Using a scientific calculator or an online calculator, evaluating these trigonometric functions will give us the distances walked in each direction.